Random Evolutionary Systems

Random Evolutionary Systems

Author: Dmitri Koroliouk

Publisher: Wiley-ISTE

Published: 2021-08-31

Total Pages: 0

ISBN-13: 9781786307521

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Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results.


Book Synopsis Random Evolutionary Systems by : Dmitri Koroliouk

Download or read book Random Evolutionary Systems written by Dmitri Koroliouk and published by Wiley-ISTE. This book was released on 2021-08-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results.

Random Evolutionary Systems

Random Evolutionary Systems

Author: Dmitri Koroliouk

Publisher: John Wiley & Sons

Published: 2021-08-02

Total Pages: 345

ISBN-13: 1119851246

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Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results.


Book Synopsis Random Evolutionary Systems by : Dmitri Koroliouk

Download or read book Random Evolutionary Systems written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2021-08-02 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results.

Systems Evolutionary Biology

Systems Evolutionary Biology

Author: Bor-Sen Chen

Publisher: Academic Press

Published: 2018-02-03

Total Pages: 390

ISBN-13: 0128140739

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Systems Evolutionary Biology: Biological Network Evolution Theory, Stochastic Evolutionary Game Strategies, and Applications to Systems Synthetic Biology discusses the evolutionary game theory and strategies of nonlinear stochastic biological networks under random genetic variations and environmental disturbances and their application to systematic synthetic biology design. The book provides more realistic stochastic biological system models to mimic the real biological systems in evolutionary process and then introduces network evolvability, stochastic evolutionary game theory and strategy based on nonlinear stochastic networks in evolution. Readers will find remarkable, revolutionary information on genetic evolutionary biology that be applied to economics, engineering and bioscience. Explains network fitness, network evolvability and network robustness of biological networks from the systematic perspective Discusses the evolutionary noncooperative and cooperative game strategies of biological networks Offers detailed diagrams to help readers understand biological networks, their systematic behaviors and the simulational results of evolutionary biological networks Includes examples in every chapter with computational simulation to illustrate the solution procedure of evolutionary theory, strategy and results


Book Synopsis Systems Evolutionary Biology by : Bor-Sen Chen

Download or read book Systems Evolutionary Biology written by Bor-Sen Chen and published by Academic Press. This book was released on 2018-02-03 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems Evolutionary Biology: Biological Network Evolution Theory, Stochastic Evolutionary Game Strategies, and Applications to Systems Synthetic Biology discusses the evolutionary game theory and strategies of nonlinear stochastic biological networks under random genetic variations and environmental disturbances and their application to systematic synthetic biology design. The book provides more realistic stochastic biological system models to mimic the real biological systems in evolutionary process and then introduces network evolvability, stochastic evolutionary game theory and strategy based on nonlinear stochastic networks in evolution. Readers will find remarkable, revolutionary information on genetic evolutionary biology that be applied to economics, engineering and bioscience. Explains network fitness, network evolvability and network robustness of biological networks from the systematic perspective Discusses the evolutionary noncooperative and cooperative game strategies of biological networks Offers detailed diagrams to help readers understand biological networks, their systematic behaviors and the simulational results of evolutionary biological networks Includes examples in every chapter with computational simulation to illustrate the solution procedure of evolutionary theory, strategy and results

Biology's First Law

Biology's First Law

Author: Daniel W. McShea

Publisher: University of Chicago Press

Published: 2010-07-15

Total Pages: 186

ISBN-13: 0226562271

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Life on earth is characterized by three striking phenomena that demand explanation: adaptation—the marvelous fit between organism and environment; diversity—the great variety of organisms; and complexity—the enormous intricacy of their internal structure. Natural selection explains adaptation. But what explains diversity and complexity? Daniel W. McShea and Robert N. Brandon argue that there exists in evolution a spontaneous tendency toward increased diversity and complexity, one that acts whether natural selection is present or not. They call this tendency a biological law—the Zero-Force Evolutionary Law, or ZFEL. This law unifies the principles and data of biology under a single framework and invites a reconceptualization of the field of the same sort that Newton’s First Law brought to physics. Biology’s First Law shows how the ZFEL can be applied to the study of diversity and complexity and examines its wider implications for biology. Intended for evolutionary biologists, paleontologists, and other scientists studying complex systems, and written in a concise and engaging format that speaks to students and interdisciplinary practitioners alike, this book will also find an appreciative audience in the philosophy of science.


Book Synopsis Biology's First Law by : Daniel W. McShea

Download or read book Biology's First Law written by Daniel W. McShea and published by University of Chicago Press. This book was released on 2010-07-15 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Life on earth is characterized by three striking phenomena that demand explanation: adaptation—the marvelous fit between organism and environment; diversity—the great variety of organisms; and complexity—the enormous intricacy of their internal structure. Natural selection explains adaptation. But what explains diversity and complexity? Daniel W. McShea and Robert N. Brandon argue that there exists in evolution a spontaneous tendency toward increased diversity and complexity, one that acts whether natural selection is present or not. They call this tendency a biological law—the Zero-Force Evolutionary Law, or ZFEL. This law unifies the principles and data of biology under a single framework and invites a reconceptualization of the field of the same sort that Newton’s First Law brought to physics. Biology’s First Law shows how the ZFEL can be applied to the study of diversity and complexity and examines its wider implications for biology. Intended for evolutionary biologists, paleontologists, and other scientists studying complex systems, and written in a concise and engaging format that speaks to students and interdisciplinary practitioners alike, this book will also find an appreciative audience in the philosophy of science.

Random Evolutions and their Applications

Random Evolutions and their Applications

Author: Anatoly Swishchuk

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 310

ISBN-13: 9401595984

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The book is devoted to the new trends in random evolutions and their various applications to stochastic evolutionary sytems (SES). Such new developments as the analogue of Dynkin's formulae, boundary value problems, stochastic stability and optimal control of random evolutions, stochastic evolutionary equations driven by martingale measures are considered. The book also contains such new trends in applied probability as stochastic models of financial and insurance mathematics in an incomplete market. In the famous classical financial mathematics Black-Scholes model of a (B,S) market for securities prices, which is used for the description of the evolution of bonds and stocks prices and also for their derivatives, such as options, futures, forward contracts, etc., it is supposed that the dynamic of bonds and stocks prices are set by a linear differential and linear stochastic differential equations, respectively, with interest rate, appreciation rate and volatility such that they are predictable processes. Also, in the Arrow-Debreu economy, the securities prices which support a Radner dynamic equilibrium are a combination of an Ito process and a random point process, with the all coefficients and jumps being predictable processes.


Book Synopsis Random Evolutions and their Applications by : Anatoly Swishchuk

Download or read book Random Evolutions and their Applications written by Anatoly Swishchuk and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the new trends in random evolutions and their various applications to stochastic evolutionary sytems (SES). Such new developments as the analogue of Dynkin's formulae, boundary value problems, stochastic stability and optimal control of random evolutions, stochastic evolutionary equations driven by martingale measures are considered. The book also contains such new trends in applied probability as stochastic models of financial and insurance mathematics in an incomplete market. In the famous classical financial mathematics Black-Scholes model of a (B,S) market for securities prices, which is used for the description of the evolution of bonds and stocks prices and also for their derivatives, such as options, futures, forward contracts, etc., it is supposed that the dynamic of bonds and stocks prices are set by a linear differential and linear stochastic differential equations, respectively, with interest rate, appreciation rate and volatility such that they are predictable processes. Also, in the Arrow-Debreu economy, the securities prices which support a Radner dynamic equilibrium are a combination of an Ito process and a random point process, with the all coefficients and jumps being predictable processes.

Evolutionary Systems Biology

Evolutionary Systems Biology

Author: Orkun S. Soyer

Publisher: Springer Science & Business Media

Published: 2012-07-23

Total Pages: 459

ISBN-13: 1461435676

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The book aims to introduce the reader to the emerging field of Evolutionary Systems Biology, which approaches classical systems biology questions within an evolutionary framework. An evolutionary approach might allow understanding the significance of observed diversity, uncover “evolutionary design principles” and extend predictions made in model organisms to others. In addition, evolutionary systems biology can generate new insights into the adaptive landscape by combining molecular systems biology models and evolutionary simulations. This insight can enable the development of more detailed mechanistic evolutionary hypotheses.


Book Synopsis Evolutionary Systems Biology by : Orkun S. Soyer

Download or read book Evolutionary Systems Biology written by Orkun S. Soyer and published by Springer Science & Business Media. This book was released on 2012-07-23 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to introduce the reader to the emerging field of Evolutionary Systems Biology, which approaches classical systems biology questions within an evolutionary framework. An evolutionary approach might allow understanding the significance of observed diversity, uncover “evolutionary design principles” and extend predictions made in model organisms to others. In addition, evolutionary systems biology can generate new insights into the adaptive landscape by combining molecular systems biology models and evolutionary simulations. This insight can enable the development of more detailed mechanistic evolutionary hypotheses.

Intelligent and Evolutionary Systems

Intelligent and Evolutionary Systems

Author: Mitsuo Gen

Publisher: Springer Science & Business Media

Published: 2009-03-12

Total Pages: 218

ISBN-13: 3540959777

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This book offers fourteen select papers presented at the recent Asia-Pacific Symposia on Intelligent and Evolutionary Systems. They illustrate the breadth of research in the field with applications ranging from business to medicine to network optimization.


Book Synopsis Intelligent and Evolutionary Systems by : Mitsuo Gen

Download or read book Intelligent and Evolutionary Systems written by Mitsuo Gen and published by Springer Science & Business Media. This book was released on 2009-03-12 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers fourteen select papers presented at the recent Asia-Pacific Symposia on Intelligent and Evolutionary Systems. They illustrate the breadth of research in the field with applications ranging from business to medicine to network optimization.

Asymptotic Analyses for Complex Evolutionary Systems with Markov and Semi-Markov Switching Using Approximation Schemes

Asymptotic Analyses for Complex Evolutionary Systems with Markov and Semi-Markov Switching Using Approximation Schemes

Author: Yaroslav Chabanyuk

Publisher: John Wiley & Sons

Published: 2020-11-02

Total Pages: 240

ISBN-13: 1119779731

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This book analyzes stochastic evolutionary models under the impulse of diffusion, as well as Markov and semi-Markov switches. Models are investigated under the conditions of classical and non-classical (Levy and Poisson) approximations in addition to jumping stochastic approximations and continuous optimization procedures. Among other asymptotic properties, particular attention is given to weak convergence, dissipativity, stability and the control of processes and their generators. Weak convergence of stochastic processes is usually proved by verifying two conditions: the tightness of the distributions of the converging processes, which ensures the existence of a converging subsequence, and the uniqueness of the weak limit. Achieving the limit can be done on the semigroups that correspond to the converging process as well as on appropriate generators. While this provides the convergence of generators, a natural question arises concerning the uniqueness of a limit semigroup.


Book Synopsis Asymptotic Analyses for Complex Evolutionary Systems with Markov and Semi-Markov Switching Using Approximation Schemes by : Yaroslav Chabanyuk

Download or read book Asymptotic Analyses for Complex Evolutionary Systems with Markov and Semi-Markov Switching Using Approximation Schemes written by Yaroslav Chabanyuk and published by John Wiley & Sons. This book was released on 2020-11-02 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes stochastic evolutionary models under the impulse of diffusion, as well as Markov and semi-Markov switches. Models are investigated under the conditions of classical and non-classical (Levy and Poisson) approximations in addition to jumping stochastic approximations and continuous optimization procedures. Among other asymptotic properties, particular attention is given to weak convergence, dissipativity, stability and the control of processes and their generators. Weak convergence of stochastic processes is usually proved by verifying two conditions: the tightness of the distributions of the converging processes, which ensures the existence of a converging subsequence, and the uniqueness of the weak limit. Achieving the limit can be done on the semigroups that correspond to the converging process as well as on appropriate generators. While this provides the convergence of generators, a natural question arises concerning the uniqueness of a limit semigroup.

Evolutionary Systems

Evolutionary Systems

Author: G. Vijver

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 442

ISBN-13: 9401715106

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The three well known revolutions of the past centuries - the Copernican, the Darwinian and the Freudian - each in their own way had a deflating and mechanizing effect on the position of humans in nature. They opened up a richness of disillusion: earth acquired a more modest place in the universe, the human body and mind became products of a long material evolutionary history, and human reason, instead of being the central, immaterial, locus of understanding, was admitted into the theater of discourse only as a materialized and frequently out-of-control actor. Is there something objectionable to this picture? Formulated as such, probably not. Why should we resist the idea that we are in certain ways, and to some degree, physically, biologically or psychically determined? Why refuse to acknowledge the fact that we are materially situated in an ever evolving world? Why deny that the ways of inscription (traces of past events and processes) are co-determinative of further "evolutionary pathways"? Why minimize the idea that each intervention, of each natural being, is temporally and materially situated, and has, as such, the inevitable consequence of changing the world? The point is, however, that there are many, more or less radically different, ways to consider the "mechanization" of man and nature. There are, in particular, many ways to get the message of "material and evolutionary determination", as well as many levels at which this determination can be thought of as relevant or irrelevant.


Book Synopsis Evolutionary Systems by : G. Vijver

Download or read book Evolutionary Systems written by G. Vijver and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three well known revolutions of the past centuries - the Copernican, the Darwinian and the Freudian - each in their own way had a deflating and mechanizing effect on the position of humans in nature. They opened up a richness of disillusion: earth acquired a more modest place in the universe, the human body and mind became products of a long material evolutionary history, and human reason, instead of being the central, immaterial, locus of understanding, was admitted into the theater of discourse only as a materialized and frequently out-of-control actor. Is there something objectionable to this picture? Formulated as such, probably not. Why should we resist the idea that we are in certain ways, and to some degree, physically, biologically or psychically determined? Why refuse to acknowledge the fact that we are materially situated in an ever evolving world? Why deny that the ways of inscription (traces of past events and processes) are co-determinative of further "evolutionary pathways"? Why minimize the idea that each intervention, of each natural being, is temporally and materially situated, and has, as such, the inevitable consequence of changing the world? The point is, however, that there are many, more or less radically different, ways to consider the "mechanization" of man and nature. There are, in particular, many ways to get the message of "material and evolutionary determination", as well as many levels at which this determination can be thought of as relevant or irrelevant.

Creative Evolutionary Systems

Creative Evolutionary Systems

Author: Peter Bentley

Publisher: Morgan Kaufmann

Published: 2002

Total Pages: 618

ISBN-13: 1558606734

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Written for computer scientists and students, and computer literate artists, designers and specialists in evolutionary computation, this text brings together the most advanced work in the use of evolutionary computation for creative results.


Book Synopsis Creative Evolutionary Systems by : Peter Bentley

Download or read book Creative Evolutionary Systems written by Peter Bentley and published by Morgan Kaufmann. This book was released on 2002 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for computer scientists and students, and computer literate artists, designers and specialists in evolutionary computation, this text brings together the most advanced work in the use of evolutionary computation for creative results.